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While covering a distance of 54 km, a man noticed that after cycling for 1 hour 15 minutes, the distance covered by him was 79\frac{7}{9}97​&nbsp
Question

While covering a distance of 54 km, a man noticed that after cycling for 1 hour 15 minutes, the distance covered by him was 79\frac{7}{9} of the remaining distance. What was his speed (in km/hr)?​

A.

18.7

B.

18.9

C.

19.9

D.

19.5

Correct option is B

Given:

Total distance = 54 km
Time = 1 hr 15 min = 1.25 hr
Distance covered =79= \frac{7}{9}​ of the remaining distance

Formula used:
Speed = Distance ÷ Time

Solution:
Let distance covered = x km
Then remaining distance = 54 - x
x =79 \frac{7}{9} ​× (54 - x)

9x = 7(54 - x)
9x = 378 - 7x
9x + 7x = 378
16x = 378
x = 378 ÷ 16 = 23.625 km

Speed = 23.625 ÷ 1.25 = 18.9 km/hr

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