Chrystal’s vehicle speed is 30 miles per hour. Ascending the mountain decreases its speed by fifty percent, and descending the mountain increases its speed by twenty percent. If the distance going to the top of the mountain is 60 miles and the distance going down to the foot of the mountain is 72 miles, how many hours will Crystal have to pass the whole mountain?

The vehicle's speed decreases to 30 x 0.50 =

<<30*0.50=15>>15 miles per hour when ascending to the top of the mountain. So, the total time Crystal will have to spend going to the top of the mountain is 60 / 15 = <<60/15=4>>4 hours. And the speed of the vehicle increases by 30 x 0.20 = <<30*0.20=6>>6 miles per hour when going down to the foot of the mountain. So, the total speed of the vehicle when going down is 30 + 6 = <<30+6=36>>36 miles per hour. Thus, Chrystal will have to spend 72 / 36 = <<72/36=2>>2 hours to descend from the mountain. Therefore, the total hours she will spend to pass the whole mountain is 4 + 2 = <<4+2=6>>6 hours. #### 6 Francine drives 140km to work each day. If she does not go to work 3 days every week, find the total distance she drives to work for 4 weeks in kilometers. There are 7 days in a week, so if he doesn't go to work for 3 days, he goes 7-3 = <<7-3=4>>4 days every week He travels 140km each day for a weekly total of 140*4 = <<140*4=560>>560km In 4 weeks he will travel a total of 4*560 = <<4*560=2240>>2240km #### 2240 Gunther just financed a John Deere tractor through the dealership. If his monthly payment is $150.00 a month, for 5 years, with no interest, how much did he finance the tractor for? There are 12 months in 1 year and his loan is for 5 years so that's 12*5 = <<12*5=60>>60 months His monthly payment is $150.00 and he pays this for 60 months so his loan for the tractor was 150*60 = $<<150*60=9000.00>>9,000.00 #### 9000 Jerry wakes up one morning and finds the thermostat set to 40 degrees. He set it to double the initial temperature. His dad notices, yells at Jerry, and reducing the temperature by 30 degrees. Later, Jerry's mother reduces the temperature by 30%, before his sister increases it by 24 degrees. What's the final temperature? First double the initial temperature: 40 degrees * 2 = <<40*2=80>>80 degrees Then reduce that amount by 30 to reflect the dad's change: 80 degrees - 30 degrees = <<80-30=50>>50 degrees Then multiply that number by 30% to find how much Jerry's mother reduces the temperature: 50 degrees * .3 = <<50*.3=15>>15 degrees Now subtract 15 degrees from 50 degrees to find the temperature after the mother's change: 50 degrees - 15 degrees = <<50-15=35>>35 degrees Finally, add 24 degrees to find the final temperature: 35 degrees + 24 degrees = <<35+24=59>>59 degrees #### 59 Jane runs 3 kilometers in two hours. What is her speed in meters per minute? Since 1 kilometer is equal to 1000 meters, then 3 kilometers is 3 x 1000 = <<3*1000=3000>>3000 meters. Since an hour has 60 minutes, then 2 hours is equal to 2 x 60 = <<2*60=120>>120 minutes. Therefore, her speed is 3000 meters/120 hours = <<3000/120=25>>25 meters per minute. #### 25 Polly and Peter play chess. Polly takes an average of 28 seconds per move, while Peter takes an average of 40 seconds per move. The match ends after 30 moves. How many minutes did the match last? Both Polly and Peter played 30 / 2 =<<30/2=15>>15 moves each one With an average of 28 seconds per move, Polly's moves lasted a total of 15 * 28 = <<15*28=420>>420 seconds. With an average of 40 seconds per move, Peter's moves lasted a total of 15*40=<<15*40=600>>600 seconds. In total, the match lasted 420 + 600 = <<420+600=1020>>1020 seconds. In minutes, the match lasted 1020 / 60 = <<1020/60=17>>17 minutes #### 17 Two sisters go to the movies. Movie tickets are $8 per person. If the sisters brought $25 with them, how much change will they receive after buying the tickets? Movie tickets cost for two people is $8 x 2 = $<<8*2=16>>16. The sisters will receive change of $25 - $16 = $<<25-16=9>>9. #### 9 The white rabbit can hop 15 meters in one minute. The brown rabbit hops 12 meters per minute. What is the total distance the two rabbits will hop in 5 minutes? White rabbit + brown rabbit = 15 + 12 = <<15+12=27>>27 5 minutes * 27 = <<5*27=135>>135 meters The two rabbits will hop 135 meters in 5 minutes. #### 135 Bob wants to build a pyramid out of legos with 3 levels where the bottom level has 7 legos per side and each level has one less lego per side than the level below it. How many legos total will he need? First find the total number of legos on the bottom layer: 7 legos * 7 legos = <<7*7=49>>49 legos Then find the number of legos per side on the next layer: 7 legos - 1 lego = <<7-1=6>>6 legos Then find the total number of legos on the second level: 6 legos * 6 legos = <<6*6=36>>36 legos Then find the number of legos per side on the top level: 6 legos - 1 lego = <<6-1=5>>5 legos Then find the total number of legos on the top level: 5 legos * 5 legos = <<5*5=25>>25 legos Then add the number of legos on each level to find the total number of legos: 49 legos + 36 legos + 25 legos = <<49+36+25=110>>110 legos #### 110 The Parker family needs to leave the house by 5 pm for a dinner party. Mrs. Parker was waiting to get into the bathroom at 2:30 pm. Her oldest daughter used the bathroom for 45 minutes and her youngest daughter used the bathroom for another 30 minutes. Then her husband used it for 20 minutes. How much time will Mrs. Parker have to use the bathroom to leave on time? Between 2:30 pm and 5:00 pm, there are 2.5 hours. There are 60 minutes in an hour, so 2.5 hours x 60 = <<2.5*60=150>>150 minutes. Her family was in the bathroom 45 + 30 + 20 = <<45+30+20=95>>95 minutes. Mrs. Parker has 150 minutes – 95 minutes = <<150-95=55>>55 minutes in the bathroom. #### 55