Question:
A and B travel the same distance with 60 km/hr and 90 km/hr respectively. If A takes 9 hrs to cover the distance, then the time taken by B is _____ hrs.
A and B travel the same distance with 60 km/hr and 90 km/hr respectively. If A takes 9 hrs to cover the distance, then the time taken by B is _____ hrs.
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For same distance: higher speed → lesser time (inverse relation).
Updated On: Apr 23, 2026
- 12 hrs
- 10 hrs
- 9 hrs
- 6 hrs
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The Correct Option is D
Solution and Explanation
Concept:
For same distance, time is inversely proportional to speed.
Step 1: Find distance covered by A.
\[ {Distance} = {Speed} \times {Time} = 60 \times 9 = 540 { km} \]
Step 2: Find time taken by B.
\[ {Time} = \frac{{Distance}}{{Speed}} = \frac{540}{90} = 6 { hrs} \]
Hence, the time taken by B is 6 hours.
Step 1: Find distance covered by A.
\[ {Distance} = {Speed} \times {Time} = 60 \times 9 = 540 { km} \]
Step 2: Find time taken by B.
\[ {Time} = \frac{{Distance}}{{Speed}} = \frac{540}{90} = 6 { hrs} \]
Hence, the time taken by B is 6 hours.
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