Help with word problems in Math?
Wednesday, July 28th, 2010 at
4:16 am
Question 1:
A boy leaves on a bicycle trip at the rate of 8 mph. One hour later the father, realizing that his son forgot his camping gear, sets out by car. How fast must the father drive to overtake the boy in 15 minutes?
(answer in mph)
Question 2: Bill started west on road U.S. 50, riding a bicycle at an average rate of 9 mph. Four hours later Charles started after Bill on a motor cycle and overtook him in 2 hours. What was Charles’ rate?
thanks everyone!!
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Tagged with: 15 minutes • bicycle trip • camping gear • motor cycle
Filed under: Sidi Motorcycle Boots
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1.
so the kid goes 8 mph for an HOUR before the father starts after him…
if the kid is going 8 miles on the hour and it takes an hour for the dad to come out, how far away is he by the time the dad comes out??
well 8 mph for an hour means he’s 8 miles away
so the kid is 8 miles away, and the dad’s gotta catch him in 15 minutes…well common sense tells me that i should prob figure out how far the boy’s gonna go in 15 minutes, so i can see how far the dad has to go to catch him…
well the kid is already 8 miles away…he’s going 8 mph for 15 minutes…now there’s 60 minutes in an hour…so lets see what fraction of the full hour 15 minutes is…
15/60 = 1/4 = 0.25
so 15 minutes is a quarter hour…if he’s goin 8 mph…then in a quarter of that hour, he’s gonna go 8 x (1/4) = 2 miles
add that to the already existing 8 miles…and u get that he’s gonna be 10 miles away when the father has to catch him
the dad has to go 10 miles in 15 minutes…that tell u the speed…but lets try to get that into miles per hour
10 miles in 15 minutes means 10 miles in 15/60 = 0.25 of an hour
10 miles in a quarter hour = 40 miles an hour
2.
same way
in 4 hrs, bill went 9 mph x 4 hrs = 36 miles
that’s when charles started and he took bill over in 2 hrs
so in those extra 2 hrs, bill went 9 mph x 2 = 18 additional miles
total distance for bill = 36 + 18 = 54 miles
charles went those 54 miles in 2 hrs
54 / 2 = 27 mph
hope this helps
-The Man