Question

Ram covers half of the distance at usual speed. Due to snow fall his speed reduces to two-third of the usual speed, after covering 30% of the distance his speed reduces to one-third of the usual speed due to low visibility. Due to this, he reached 9 hours late at the destination. If the total distance to reach the destination is 540 kms, then find the actual speed of Ram.
1. 44 km/hr
2. 30 km/hr
3. 33 km/hr
4. 40 km/hr

Answer 1

Correct Answer - Option 3 : 33 km/hr

Given:

Total distance = 540 kms

Delay due to reduction in speed = 9 hours

Formula used:

Time = Distance/Speed

Calculations:

Let the actual speed of Ram be s km/hr.

According to question,

Difference between usual time and delayed time = 9 hours

⇒ {(270/s) + (30% of 540)/(2s/3) + (20% of 540)/(s/3)} - (540/s) = 9

⇒ {(270/s) + (162 × 3)/(2s) + (108 × 3)/s} - (540/s) = 9

⇒ {(270/s) + (243)/(s) + (324)/s} - (540/s) = 9

⇒ (270 + 243 + 324 - 540)/s = 9

⇒ s = 33 km/hr

∴ The actual speed of Ram is 33 km/hr.