Ram covers half of the distance at usual speed. Due to snow fall his

1.	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/hr2. 30 km/hr3. 33 km/hr4. 40 km/hr
Answer» 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.

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/hr2. 30 km/hr3. 33 km/hr4. 40 km/hr

Answer» 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.