Question

Ram jogs on a track A at 12kmph and Shyam jogs on track B at 15kmph. The total length of tracks A and B is 650m. While Ram makes 18 rounds of track A, Shyam makes 10 rounds of track B. In how many seconds will Shyam, make one round of track A?

1. 48sec
2. 45sec
3. 38sec
4. 42sec
5. 60sec

Answer 1

Correct Answer - Option 1 : 48sec

Given:

Ram jogs on track A at 12kmph

Shyam jogs on track B at 15kmph

The total length of track A and B is 650m

While Ram makes 18 round of track A, Shyam makes 10 rounds of track B.

Formula Used:

Distance = Speed × Time

Calculation:

Let length of track A be A and B be 650 – A

According to Question,

⇒ 18A/12 = 10(650 – A)/15

⇒ 270A = 78000 – 120A

⇒ 390A = 78000

⇒ A = 200

⇒ B = 650 – 200 = 450

⇒ Shyam jogs at 15kmph = 15 × (5/18)

∴ Time taken by Shyam = 200/(15 × 5/18) = 48sec.