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Leni [432]
2 years ago
10

Two friends live 3 miles apart along the same road. If they walk toward each other at rates that differ by half mile per hour an

d meet 24 minutes later, how fast is each person walking
Mathematics
1 answer:
Slav-nsk [51]2 years ago
8 0

Answer: their speeds are 3.5mph and 4 mph

Step-by-step explanation:

Since both friends live 3 miles apart along the same road, by the time they meet, they would have covered 3 miles.

Let x represent the speed of the slower friend.

If differ by half mile per hour, it means that the speed of the faster friend is (x + 0.5) mph

They meet after 24 minutes(24/60 = 0.4 hours)

Distance = speed × time

Distance covered by the slower friend in 0.4 hours is

x × 0.4 = 0.4x

Distance covered by the faster friend in 0.4 hours is

0.4(x + 0.5) = 0.4x + 0.2

Since the total distance is 3 miles, then

0.4x + 0.4x + 0.2 = 3

0.8x = 3 - 0.2 = 2.8

x = 2.8/0.8

x = 3.5 mph

The speed of the faster friend is

3.5 + 0.5 = 4 mph

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In this question, we are to use proportionality to find the solution to the question.

We were made to know that the time taken to build the highway is varied directly with the length and inversely with the number of workers.

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