Rhonda, Sally, and Diane are members of their school's track team. The three of them run the 600-meter relay race together. Rhonda runs the first 200 meters of the race, Sally runs the second 200 meters of the race, and Diane runs the final 200 meters of the race. Rhonda can run 200 meters in 24 seconds. Sally takes two seconds longer to run the same distance, while Diane can run 200 meters three seconds faster than Rhonda. How many seconds does it take for the three of them to run the 600-meter relay race?
How many seconds does it take Sally to run 200 meters? ** Sally takes 24+2=
<<24+2=26>>26 seconds. How many seconds does it take Diane to run 200 meters? ** Diane takes 24-3=<<24-3=21>>21 seconds. How many seconds does it take the three of them to run the 600-meter relay race? ** Thus, the three take 24+26+21=<<24+26+21=71>>71 seconds to run the 600-meter relay race. #### 71 It takes 50 minutes to cut a woman's hair, 15 minutes to cut a man's hair, and 25 minutes to cut a kid's hair. If Joe cut 3 women's, 2 men's, and 3 children's hair, how much time did he spend cutting hair? How many minutes did Joe spend cutting women's hair? ** He spent 3*50=<<3*50=150>>150 minutes cutting women's hair. How many minutes did Joe spend cutting men's hair? ** He spent 2*15=<<2*15=30>>30 minutes cutting men's hair. How many minutes did Joe spend cutting children's hair? ** He spent 3*25=<<3*25=75>>75 minutes cutting children's hair. How many minutes did Joe spend cutting hair? ** He spent a total of 150+30+75=<<150+30+75=255>>255 minutes. #### 255 Leo had 400 marbles in a jar. He packed the marbles with ten marbles in each pack, and he gave some of them to his two friends, Manny and Neil. He gave Manny 1/4 of the number of packs of marbles, Neil received 1/8 of the number of packs of marbles, and he kept the rest. How many packs of marbles did Leo keep? How many packs of marbles did Leo have? ** Leo had 400/10 = <<400/10=40>>40 packs of marbles. How many packs of marbles did Leo give to Manny? ** He gave Manny 1/4 x 40 = <<1/4*40=10>>10 packs of marbles. How many packs of marbles did Leo give to Neil? ** And, Neil received 1/8 x 40 = <<1/8*40=5>>5 packs of marbles. How many packs of marbles did Leo give? ** Thus, Leo. gave a total of 10 + 5 = <<10+5=15>>15 packs of marbles. How many packs of marbles did Leo keep? ** Therefore, Leo kept 40 - 15 = <<40-15=25>>25 packs of marbles. #### 25 Phil and Andre decide to order some pizza. They get a small cheese and a large pepperoni. The small pizza has 8 slices, The large has 14 slices. They have both eaten 9 slices already. How many pieces are left per person? How many pieces are there? ** There are 22 pieces of pizza because 14 plus 8 equals <<14+8=22>>22. How many pieces have they eaten? ** They have eaten 18 pieces of pizza because 9 plus 9 equals <<9+9=18>>18. How many pieces are left? ** There are 4 pieces of pizza left because 22 minus 18 equals <<22-18=4>>4. How many pieces are left per person? ** There are 2 pieces per person because 4 divided by 2 equals <<4/2=2>>2. #### 2 Tony has a bucket that holds 2 pounds of sand. He has a sandbox out back that is two feet deep, four feet wide, and 5 feet long. A cubic foot of sand weighs 3 pounds. Because it's hot outside, he wants to make sure he stays hydrated, so every 4 trips he takes he drinks 3 ounces of bottled water. A 15 ounce bottle of water costs $2. He has $10 with him. How much change will he have after he buys all the water he needs? How many cubic feet is the sandbox? ** The sandbox is 40 cubic feet because 2 x 4 x 5 = <<2*4*5=40>>40 How many pounds of sand does he need? ** He needs 120 pounds of sand because 40 x 3 = <<40*3=120>>120 How many trips will he take? ** He will take 60 trips because 120 / 2 = <<120/2=60>>60 How many times will he drink water? ** He will need to drink water 15 times because 60 / 4 = <<60/4=15>>15 How many ounces of water will he drink? ** He will drink 45 ounces of water because 15 x 3 = <<15*3=45>>45 How many bottles of water will he need? ** He will need 3 bottles of water because 45 / 15 = <<45/15=3>>3 How much will he spend on water? ** He will spend $6 on water because 3 x 2 = <<3*2=6>>6 How much change will he have? ** He will have $4 in change because 10 - 6 = <<10-6=4>>4 #### 4 The PTA had saved $400 set aside after a fundraising event. They spent a fourth of the money on school supplies. Then they spent half of what was left on food for the faculty. How much money did they have left? How much money did they spend on school supplies? ** They spent $400/4=$<<400/4=100>>100 on school supplies. How much money did they spend on food? ** They spent $300/2=$<<300/2=150>>150 on food. How much money did they have left? ** They had $300-150=$<<300-150=150>>150 left. #### 150 William read 6 books last month and Brad read thrice as many books as William did. This month, in an effort to catch up, Williams read twice as much as Brad, who read 8 books. Who has read more across the two months, and by how much? How many books did Brad read last month? ** Last month Brad read thrice 6 books for a total of 3*6 = <<3*6=18>>18 books How many books did Williams read this month? ** This month Williams read twice 8 books for a total of 2*8 = <<2*8=16>>16 books How many books did Brad read across the two months? ** Across the 2 months Brad has read 18+8 = <<18+8=26>>26 books How many books did William read across the two months? ** Across the 2 months William has read 6+16 = <<6+16=22>>22 books How many more books did Brad read than William? ** Brad has read 26-22 = <<26-22=4>>4 more books #### 4 Twenty years ago, Shane was 2 times older than Garret is now. If Garret is currently 12, how old is Shane now? How old was Shane 20 years ago? ** Twenty years ago, Shane was 12 * 2 = <<12*2=24>>24 years old How old is Shane now? ** Shane is currently 24 + 20 = <<24+20=44>>44 years old #### 44 Traveling from Manhattan to the Bronx, Andrew rides the subway for 10 hours, takes the train and rides for twice as much time as the subway ride, and then bikes the remaining distance for 8 hours. What's the total time he takes to reach the Bronx from Manhattan? How long does the train ride take? ** The train ride takes Andrew 2*10 = <<2*10=20>>20 hours. How long does the subway and train ride take? ** Together, the subway ride and the train ride take Andrew 10+20 = <<10+20=30>>30 hours. How long does Andrew take to reach the Bronx from Manhattan? ** With an additional bike ride of 8 hours to reach the Bronx, Andrew takes 30+8 = <<30+8=38>>38 hours to travel from Manhattan to the Bronx. #### 38 Each bank teller has 10 rolls of coins. Each roll has 25 coins. How many coins do four bank tellers have in all? How many coins does each bank teller have? ** Each bank teller has 10 x 25 = <<10*25=250>>250 coins. How many coins do four bank tellers have in all? ** Thus, four bank tellers have 250 x 4 = <<250*4=1000>>1000 coins. #### 1000