While covering a distance of 24 km a man noticed that after walking for 1 hour and 40 minutes t...........

Quant (SSC) Time & distance

While covering a distance of 24 km, a man noticed that after walking for 1 hour and 40 minutes, the distance covered by him was 5/7 of the remaining distance. What was his speed in meters per second?

2 4/3 m/sec

2 4/7 m/sec

1 2/3 m/sec

2 2/7 m/sec

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Explanation:

Let the speed be x km/hr.
Then, distance covered in 1 hr. 40 min.
i.e , 1 2/3 hrs = 5x/3 km
Remaining distance,
= (24 - 5x/3) km
So, 5x/3 = 5/7 (24 - 5x/3)
⇒ So, 5x/3 = 5/7(72 - 5x/3)
⇒ 7x = 72 – 5x
⇒ 12x = 72 ⇔ x = 6
Hence, speed = 6 km/hr
= (6 x 5/18) m/sec. = 5/3 m/sec.
= 1 2/3 m/sec.