While covering a distance of 37 km, a man noticed that after cycling for 1 hour 5 minutes, the distance covered by him was 4/3 of the remaining distance. What was his speed (in km/hr, rounded off to one decimal place)?

Question

Question

This question was previously asked in

RRB NTPC Graduate Level CBT-I Official Paper (Held On: 05 Jun, 2025 Shift 2)

Answer 1

Given:

Total distance = 37 km

Time cycled = 1 h 5 min

Distance covered = 4/3 of remaining distance

Formula used:

Distance = Speed × Time

Calculations:

⇒ Time = 1 + 5/60 = 13/12 h

⇒ Let Speed = v km/hr

⇒ Covered = v × 13/12

Remaining = 37 − v × 13/12

Distance covered = 4/3 of remaining distance

⇒ v × 13/12 = 4/3 × (37 − v × 13/12)

⇒ 13v = 16 × (37 − 13v/12)

⇒ 13v = 592 − 52v/3

⇒ 39v = 1776 − 52v

⇒ 91v = 1776

⇒ v = 1776/91 ≈ 19.5 km/hr

∴ The correct answer is option 2.

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