Stuart is going on a cross-country trip and wants to find the fastest route. On one route the total distance is 1500 miles and the average speed is 75 MPH. On the second trip, the total distance is 750 but the average speed is 25 MPH. How long does his trip take if he goes on the fastest route?

How many hours will the first route take? ** The first route will take 20 hours because 1,500 / 75 =

<<1500/75=20>>20 How many hours will the second route take? ** The second route will take 30 hours because 750 / 25 = <<750/25=30>>30 How many hours will the fastest route take? ** The fastest route takes 20 hours because 20 < 30 #### 20 Noah’s bedroom light uses 6 watts per hour. His office light is much brighter so he can see to work and uses three times as much energy. The living room light has a much larger space to cover and has to be more powerful, so it uses four times as much energy as his bedroom light. If Noah leaves all those lights on for two hours, how many watts has he used? How many watts does Noah’s bedroom light use in two hours? ** Noah’s bedroom light uses 6 watts per hour, so it would use 2 * 6 = <<6*2=12>>12 watts in two hours. How many watts does Noah’s office light use in two hours? ** His office light uses 3 times as many watts as his bedroom light, so it uses 3 * 6 = <<3*6=18>>18 watts per hour. How many watts does Noah’s office light use in two hours? ** In two hours, the office light would use 18 * 2 = <<18*2=36>>36 watts. How many watts does Noah’s living room light use in two hours? ** The living room light uses 4 times as many watts as his bedroom light, so it uses 4 * 6 = <<4*6=24>>24 watts per hour. How many watts does Noah’s living room light use in two hours? ** In two hours, the living room light would use 24 * 2 = <<24*2=48>>48 watts. How many watts has he used? ** Thus, if Noah leaves all those lights on for two hours, he has used 12 + 36 + 48 = <<12+36+48=96>>96 watts. #### 96 Malcolm brushes his teeth for 2 minutes after breakfast, lunch and dinner. After 30 days, how many hours does he spend brushing his teeth? How many minutes does Malcolm brush his teeth? ** He brushes his teeth 3 times a day, after breakfast, lunch and dinner. He brushes for 2 minutes so that’s 3*2 = <<3*2=6>>6 minutes per day. How many minutes does Malcolm brush his teeth? ** He brushes 6 minutes per day so after 30 days he has brushed 6*30 = <<6*30=180>>180 minutes How many hours does Malcolm brush his teeth? ** There are 60 minutes in 1 hour and he brushes for 180 minutes so that’s 180/60 = <<180/60=3>>3 hours #### 3 A nail salon was completely booked at 2 pm for manicures. Each manicure costs $20.00 per client so the salon made $200.00. If there are 210 fingers in the salon at 2 pm, and everyone has 10 fingers, how many people in the salon are not clients? How many clients are there? ** The salon made $200.00 and they charge $20.00 per client so there are 200/20 = <<200/20=10>>10 clients in the salon How many people are there? ** There are 210 fingers in the salon and everyone has 10 fingers so there are 210/10 = <<210/10=21>>21 people in the salon How many people are not clients? ** If there are 21 people in the salon and 10 are clients then there are 21-10 = <<21-10=11>>11 people in the salon that are not clients #### 11 There were 50 fish in a pond and 3 times as many tadpoles. If Curtis catches 7 fish and half the tadpoles develop into frogs, how many more tadpoles than fish are there in the pond now? How many tadpoles were there? ** There were 50 x 3 = <<50*3=150>>150 tadpoles. How many fish are there now? ** There are 50 - 7 = <<50-7=43>>43 fish left in the pond. How many tadpoles are there now? ** There are 150/2 = <<150/2=75>>75 tadpoles left in the pond. How many more tadpoles than fish are there in the pond now? ** There are 75 - 43 = <<75-43=32>>32 more tadpoles than fish in the pond now. #### 32 Dexter and Jay are using a gallon of white paint to paint the walls. Dexter used 3/8 of the gallon of paint while Jay used 5/8 of a gallon of paint. If a gallon is equal to 4 liters, how many liters of paint were left from Dexter and Jay combined? How many liters of paint did Dexter use? ** Dexter used 4 x 3/8 = 3/2 liters of paint. How many liters of paint did Jay use? ** Jay used 4 x 5/8 = 5/2 liters of paint. How many liters of paint did Dexter and Jay use together? ** Together, they used 3/2 + 5/2 = <<3/2+5/2=4>>4 liters of paint. How many liters of paint did Dexter and Jay use together? ** Since each of them used a gallon of paint, then they both used 2 x 4 = <<2*4=8>>8 liters of paint together. How many liters of paint were left? ** Therefore, 8 - 4 = <<8-4=4>>4 liters of paint were left. #### 4 John with his five friends ordered 3 pizzas. Each pizza had 8 slices. If they all finished and ate the same amount of pizzas, how many slices did each person eat? How many slices were on each pizza? ** There were 3 x 8 = <<3*8=24>>24 slices of pizza. How many slices did each person eat? ** Since there were 6 persons, then each person ate 24/6 = <<24/6=4>>4 slices #### 4 Felix can lift off the ground 1.5 times more than he weighs. Felix's brother weighs twice as much as Felix and can lift three times his weight off the ground. If his brother can lift 600 pounds, how much can Felix lift off the ground? How much does Felix's brother weigh? ** Felix's brother weighs 200 pounds because 600 / 3 = <<600/3=200>>200 How much does Felix weigh? ** Felix weighs 100 pounds because 200 / 2 = <<200/2=100>>100 How much can Felix lift off the ground? ** Felix can lift 150 pounds because 100 x 1.5 = <<100*1.5=150>>150 #### 150 Tina saved $27 in June, $14 in July, and $21 in August. Then Tina spent $5 on books and $17 on new shoes. How much money does Tina have left? How much money did Tina save? ** The total amount of money saved is $27 + $14 + $21 = $<<27+14+21=62>>62. How much money did Tina spend? ** The total amount spent on books and new shoes is $5 + $17 = $<<5+17=22>>22. How much money does Tina have left? ** Tina has $62 − $22 = $40 left. #### 40 Samir climbed 318 stairs yesterday. Veronica climbed 18 more than half that amount. How many stairs did Veronica and Samir climb together yesterday? What is half of 318? ** Half of 318 is <<318/2=159>>159 How many stairs did Veronica climb? ** 159 + 18 = <<159+18=177>>177 stairs How many stairs did Veronica and Samir climb together yesterday? ** 318 + 177 = <<318+177=495>>495 How many stairs did Veronica and Samir climb together yesterday? ** Together they climbed 495 stairs yesterday. #### 495