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## A bus station runs a shuttle service to and from the airport. A shuttle that left the station traveling at 15 miles per hour is passed by a

Question

A bus station runs a shuttle service to and from the airport. A shuttle that left the station traveling at 15 miles per hour is passed by a second shuttle that left 20 minutes later traveling at a rate of 17 miles per hour. How far did the first shuttle travel before it was passed by the second shuttle?

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Mathematics
3 years
2021-08-16T04:24:17+00:00
2021-08-16T04:24:17+00:00 1 Answers
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## Answers ( )

Answer:

2.5 hours

Step-by-step explanation:

Given the following:

Shuttle that left station at Speed = 15 mph ; passed by a second shuttle which left 20 minutes later traveling at a speed of 17mph.

How far did the first shuttle travel before being passed by the second?

Distance moved by first before the second started:distance = speed × time

D1 = 15 mph × (20/60) = 5 miles

If t = time traveled

d – 5 = 15t – – (1)

d = 17t – – – (2)

17t – 5 = 15t

17t – 15t = 5

2t = 5

t = 5/2

t = 2.5 hours