The speed of A and B are in the ratio 3 : 4. A takes 20 minutes more than B to reach a destination. Time in which A reach the destination?
A. $$1\frac{1}{3}$$ hours
B. 2 hours
C. $$2\frac{2}{3}$$ hours
D. $$1\frac{2}{3}$$ hours
Answer: Option A
Solution(By Examveda Team)
Ratio of speed = 3 : 4Ratio of time taken = 4 : 3 (As Speed ∝ $$\frac{1}{{{\text{Time}}}},$$ When distance remains constant.)
Let time taken by A and B be 4x and 3x hour respectively.
Then,
4x - 3x = $$\frac{{20}}{{60}}$$
Or, x = $$\frac{{1}}{{3}}$$
Hence, time taken by A = 4x hours = 4 × $$\frac{1}{3}$$ = $$1\frac{1}{3}$$ hours.
Related Questions on Speed Time and Distance
A. 48 min.
B. 60 min.
C. 42 min.
D. 62 min.
E. 66 min.
A. 262.4 km
B. 260 km
C. 283.33 km
D. 275 km
E. None of these
A. 4 hours
B. 4 hours 30 min.
C. 4 hours 45 min.
D. 5 hours
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