A truck travels 500 miles at an average speed of 60 miles per hour on a return trip on the same route and travels at an average

Question

2 years ago

8

speed of 50 miles per hour how much longer did the return trip take

1 answer:

marta [7] · Answer 1 · 2023-09-02T20:39:51+03:00

The return trip took 1 hour 42 minutes longer

Further explanation:

The distance will remain same on return.

The formula for speed is given by:

$Speed=\frac{Distance}{Time}$

Let d be the distance

s1 be the speed while going and s2 be the speed while returning

and

t1 be the time while going and t2 be the time while returning

d=500 miles

s1=60 miles per hour

s2=50 miles per hour

We have to calculate time for both trips,

So,

Time while Going:

$s_1=\frac{d}{t_1}\\t_1=\frac{d}{s_1}$

Putting the values of d and s1

$t_1=\frac{500}{60}\\=8.3\ hours$

Converting 8.3

8 will be the hours,

for 0.3 hour

0.3*60=18 minutes

The first trip took 8 hours and 18 minutes.

Time while returning:

$s_2=\frac{d}{t_2}\\t_2=\frac{d}{s_2}$

Putting the values of d and s1

$t_2=\frac{500}{50}\\=10\ hours$

The difference of both times is: 1 hour 42 minutes

So,

The return trip took 1 hour 42 minutes longer

Keywords: Time, Distance, Speed

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