Jennie drives to her son’s house in 5 hours when there is heavy traffic. When there is no traffic the same trip takes only 4 hours. If her son's house is 200 miles away, what is the difference between her average speed when there is heavy traffic and when there is no traffic?
Jennie can cover the 200-mile distance in 5 hours when there is heavy traffic, so her average speed is 200/5 =
<<200/5=40>>40mph She can cover the same distance in 4 hours when there is no traffic for an average speed of 200/4 = <<200/4=50>>50mph The difference in average speed between the two scenarios is (50-40)mph = <<(50-40)=10>>10mph #### 10 Kenny played basketball last week. He ran for twice as long as he played basketball, and he practiced on the trumpet for twice as long as he ran. If he practiced on the trumpet for 40 hours, how many hours did Kenny play basketball last week? Kenny ran for 40/2=<<40/2=20>>20 hours. Kenny played basketball for 20/2=<<20/2=10>>10 hours. #### 10 The chicken crossed the road to get to the other side twice for the thrill of it. The first time, it had to dodge 23 speeding cars. The second time, a person tried to catch it and accidentally pulled out twice as many feathers as the number of cars the chicken had dodged. The chicken had 5263 feathers before its thrill-seeking road crossings. How many feathers did it have afterward? The chicken lost 23 * 2 = <<23*2=46>>46 feathers on its second road crossing. Thus, it had 5263 - 46 = <<5263-46=5217>>5217 feathers after crossing the road twice. #### 5217 Malcolm is trying to find the fastest walk to school and is currently comparing two routes. In the first route, he walks for 6 minutes uphill, walks for twice this amount of time along a path, then finishes the journey in a third of the time it took to walk the first two stages. In the second route, he walks along a flat path for 14 minutes, then finishes the walk in twice this amount of time. In minutes, how much longer was the second route compared with the first? In the first route, Malcolm spends 6 minutes * 2 = <<6*2=12>>12 minutes walking along the path. So in total, the first two stages of this route take him 6 + 12 = <<6+12=18>>18 minutes. This means the final part of the journey took him 18 / 3 = <<18/3=6>>6 minutes. Therefore, the total time it takes to walk the first route is 18 + 6 = <<18+6=24>>24 minutes. In the second route, the second stage takes him 14 * 2 = <<14*2=28>>28 minutes. So the second route takes a total of 28 + 14 = <<28+14=42>>42 minutes to walk. The second route therefore takes an extra 42 minutes for the second route – 24 minutes for the first route = <<42-24=18>>18 minutes. #### 18 James' keyboard is missing 1/7 of the consonants and two vowels. How many keys are missing in total? (Remember there are 5 vowels and 21 consonants in the alphabet.) First find how many consonants are missing: 21 consonants * 1/7 = <<21*1/7=3>>3 consonants Then add the number of missing vowels to find the total number of missing keys: 3 consonants + 2 vowels = <<3+2=5>>5 keys #### 5 A school has 1000 students. Half of the students were taken on a trip to the nearby beach. Half of the remaining students were sent home. How many students are still in the school? 1000 * 1/2 = <<1000*1/2=500>>500 students were taken on a trip to the nearby beach. So 1000 - 500 = <<1000-500=500>>500 students were not taken to the beach. Thus, 1/2 * 500 = <<500*1/2=250>>250 students who were not taken to the beach were sent home. Thus, 500 - 250 = <<500-250=250>>250 students are still in school. #### 250 Summer and Jolly both went to the same middle school. However, when they finished college, Summer had five more degrees than Jolly. If Summer has a total of 150 degrees, what's the combined number of degrees they both have? Jolly has 150 - 5 = <<150-5=145>>145 degrees Since Summer has 150 degrees, the combined total for both is 150+145 = <<150+145=295>>295 #### 295 Maria has 19 cookies. She decided to give her friend 5 of them, and half of the rest to her family. From the rest, Maria decided to eat 2 cookies. How many cookies will she have left? Maria wants to give away 5 cookies, so she will be left with 19 - 5 = <<19-5=14>>14 cookies. Half of these will go to her family, which means 14 / 2 = <<14/2=7>>7 cookies. Maria decided to eat 2/7 * 7 = <<2/7*7=2>>2 cookies. So she will be left with 7 - 2 = <<7-2=5>>5 cookies. #### 5 Wario is a field goal kicker on the high school football team. He attempts 60 field goals throughout the season. He misses 1/4 of the field goals. Of the field goals missed 20 percent were wide right. How many missed field goals went wide right? Missed:60/4=<<60/4=15>>15 Wide Right:15(.20)=3 field goals #### 3 During a day at the farm, Annie picked eight pints of blueberries. Kathryn picked two pints more than Annie, and Ben picked three pints fewer than Kathryn. How many pints, in total, did the three pick together? Kathryn picked 8+2=<<8+2=10>>10 pints. Ben picked 10-3=<<10-3=7>>7 pints. The total is 8+10+7=<<8+10+7=25>>25 pints #### 25