Q. 215.0( 1 Vote )

# A car goes uphill at the rate of 30 km an hour and downhill at the rate of 50 km an hour after 15 hours it has covered 650km. How long does it go downhill and uphill respectively?

Let the distance covered during uphill be d1km in t1 hr.

& the distance covered during downhill be d2 km in t2 hr.

According to the question, total distance = d1 + d2 = 650

Where, d1 = 30t1

d2 = 50t2

Therefore, 30t1 + 50t2 = 650 ...... (i)

Also, total time = t1 + t2 = 15 ...... (ii)

solving :(i) – 30(ii)

30t1 + 50t2 = 650

– 30t1 – 30t2 = – 450

20t2 = 200

t2 = 10

t1 = 5

So, it took 5hrs to cover uphill and 10 hrs to cover downhill.

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