Toby, the Alaskan Malamute, can pull a sled at a speed of 20 miles per hour if the sled is unloaded, but he pulls the same sled at a speed of 10 miles per hour if the sled is fully loaded. If Toby takes a continuous 4-part journey, first pulling the loaded sled for 180 miles, then pulling the unloaded sled for 120 miles, then pulling the loaded sled 80 miles, and finally, pulling the unloaded sled another 140 miles, how many hours in total will Toby spend pulling the sled?

How many hours does Toby spend pulling the loaded sled? ** Pulling a loaded sled at 10 mph for 180 miles takes 180/10=

<<180/10=18>>18 hours How many hours does Toby spend pulling the unloaded sled? ** Pulling an unloaded sled at 20 mph for 120 miles takes 120/20=<<120/20=6>>6 hours How many hours does Toby spend pulling the loaded sled? ** Pulling a loaded sled at 10 mph for 80 miles takes 80/10=<<80/10=8>>8 hours How many hours does Toby spend pulling the unloaded sled? ** Pulling an unloaded sled at 20 mph for 140 miles takes 140/20=<<140/20=7>>7 hours How many hours in total will Toby spend pulling the sled? ** In total, Toby will have pulled the sled for 18+6+8+7=<<18+6+8+7=39>>39 hours #### 39 Ben bought a lawnmower for his garden. He paid $100 for it. After six months, the value of the mower dropped by about 25%. Over the next year, the value of the mower dropped another 20% in value. How much is Ben's lawnmower worth after this time? How much did the lawnmower drop in value after 6 months? ** The first value drop of the lawnmower was 25/100 * 100 = $<<25/100*100=25>>25. How much was the lawnmower worth after 6 months? ** So the lawnmower was worth 100 - 25 = $<<100-25=75>>75. How much did the lawnmarder drop in value after 1 year? ** Over the next year, the value dropped another 20%, which is 20/100 * 75 = $<<20/100*75=15>>15. How much is Ben's lawnmower worth after this time? ** So after all this time, Ben's lawnmower is worth 75 - 15 = $<<75-15=60>>60. #### 60 Roger had a 6-hour drive planned out. He didn't want to listen to music so he downloaded several podcasts. The first podcast was 45 minutes long. The second podcast was twice as long as that. The third podcast was 1 hour and 45 minutes long. His fourth podcast is 1 hour long. How many hours will his next podcast have to be to fill up the full 6 hours? How long is the second podcast? ** The second podcast was twice as long as the first so 2*45 = <<2*45=90>>90 How long is the third podcast? ** 1 hour is 60 mins. So his 1 hour and 45 min podcast is 60+45 = <<1*60+45=105>>105 minutes long How many minutes have been downloaded? ** So far he has downloaded 45+90+105+60 = <<45+90+105+60=300>>300 min How many hours of podcasts have been downloaded? ** If he converts 300 min to hours then he has 300/60 = <<300/60=5>>5 hours of podcasts downloaded How many hours will his next podcast have to be to fill up the full 6 hours? ** He has 5 hours of podcasts and his drive is 6 hours so he will need 6 - 5 = <<6-5=1>>1 more hour of podcasts #### 1 A group of six friends planned to buy a car. The cost of the car is $1700 and they plan to share the cost equally. They had a car wash to help raise funds, which would be taken out of the total cost. The remaining cost would be split between the six friends. At the car wash, they earn $500. However, Brad decided not to join in the purchase of the car. How much more does each friend have to pay now that Brad isn't participating? How much is left after the car wash? ** Start by finding the total that is left, $1700 car price - $500 earned at car wash = $<<1700-500=1200>>1200 remaining. How much does each friend have to pay now that Brad isn't participating? ** So the six friends should pay $1200 / 6 people = $<<1200/6=200>>200 each. How much does each friend have to pay now that Brad isn ** Since Brad is not joining, then the 5 friends have to split Brad's share which is $200/5 = $<<200/5=40>>40 each. #### 40 John's camera broke so he decided to rent one for 4 weeks. It was a $5000 camera and the rental fee was 10% of the value per week. His friend who was there when it broke agreed to pay 40% of the rental fee. How much did John pay? How much is the rental fee? ** The rental fee is 5000*.1=$<<5000*.1=500>>500 per week How much did John pay in total? ** So it cost 500*4=$<<500*4=2000>>2000 How much did John's friend pay? ** His friend pays 2000*.4=$<<2000*.4=800>>800 How much did John pay? ** So he pays 2000-800=$<<2000-800=1200>>1200 #### 1200 At peak hours, 11 am - 1 pm and 5 pm - 6 pm, the local fast-food restaurant serves 12 cars every 15 minutes. Off-peak times, they serve 8 cars every 15 minutes. From 4 pm - 6 pm, how many customers do they serve? How many 15-minute blocks are in an hour? ** 5 pm-6 pm is one hour and they measure service in 15-minute blocks so 60/15 = <<60/15=4>>4 15 min blocks How many cars do they serve at peak times? ** At peak times, they serve 12 cars every 15 minutes so they serve 12*4 = <<12*4=48>>48 cars in 60 minutes How many cars do they serve at off-peak times? ** Off peak times, 4pm-5 pm, they serve 8 cars every 15 minutes so they serve 8*4 = <<8*4=32>>32 cars in 60 minutes How many cars do they serve from 4pm-6 pm? ** From 4pm-5 pm they serve 32 cars and from 5pm-6 pm they serve 48 cars so they serve 32+48 = 80 cars #### 80 Andrew installed hardwood flooring in his house. His bedroom took eight wooden planks, his living room took twenty planks, and his kitchen took eleven planks. The guest bedroom took two fewer planks than Andrew’s bedroom, and each of his two hallways took four planks. He accidentally ruined three planks in each bedroom by dragging furniture over them and had to replace them. He ended up with six leftover planks at the end. How many wooden planks did Andrew buy to start with? How many planks did Andrew’s guest bedroom take? ** Andrew’s guest bedroom took 8 - 2 = <<8-2=6>>6 wooden planks. How many planks did Andrew’s hallways take? ** His hallways took 2 * 4 = <<2*4=8>>8 planks. How many planks did Andrew’s bedrooms take? ** In two bedrooms, he ruined 3 planks each, so the bedrooms took an extra 3 * 2 = <<3*2=6>>6 planks. How many planks did Andrew use? ** In all, he used 8 + 20 + 11 + 6 + 8 + 6 = <<8+20+11+6+8+6=59>>59 planks for his whole house. How many wooden planks did Andrew buy to start with? ** Andrew had 6 leftover planks, so he bought 59 + 6 = <<6+59=65>>65 wooden planks to start with. #### 65 Frankie's parents let him have many pets. He has six more snakes than he has cats. He has one less parrot than cats. Six of his pets have four legs. He has 2 dogs. How many pets does he have in total? How many cats does he have? ** He has 6 - 2 = <<6-2=4>>4 cats. How many parrots does he have? ** He has 4 - 1 = <<4-1=3>>3 parrots. How many snakes does he have? ** He has 4 + 6 = <<4+6=10>>10 snakes. How many pets does he have in total? ** He has a total of 2 + 4 + 3 + 10 = <<2+4+3+10=19>>19 pets. #### 19 At the Greene Nursery, there are 1491 red roses, 3025 yellow carnations, and 1768 white roses. How many flowers are at the Greene Nursery in total? How many red roses and yellow carnations are there? ** 1491 + 3025 = <<1491+3025=4516>>4516 How many flowers are at the Greene Nursery in total? ** 4516 + 1768 = <<4516+1768=6284>>6284 How many flowers are at the Greene Nursery in total? ** There are 6284 flowers at the Greene Nursery. #### 6284 Jeff was driving to the capital city to attend a conference. At first, he was driving at 80 miles/hour for about 6 hours, then the speed limit changed and he had to slow down to 60 miles/hour, and so he drove at this speed for 4 hours. Then he made a stop at a gas station. Once the car was full of gas, he drove at 40 miles/hour the rest of the trip for 2 hours. How many miles did he travel? How many miles did Jeff drive in the first stretch? ** In the first stretch he drove 80 miles/hour x 6 hours = <<80*6=480>>480 miles How many miles did Jeff drive in the second stretch? ** In the second stretch he drove 60 miles/hour x 4 hours = <<60*4=240>>240 miles How many miles did Jeff drive after the gas station? ** After the gas station he drove 40 miles/hour x 2 hours = <<40*2=80>>80 miles How many miles did Jeff drive in total? ** In total he drove 480 miles + 240 miles + 80 miles = <<480+240+80=800>>800 miles #### 800