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RBI Grade B Phase 1 PYP >> Jul 9, 2023 - Shift 2 >> Quantitative Aptitude

Question :

The ratio of speed of stream and the speed of the boat in still water is 3:8 respectively. Total time taken by the boat in both upstream and downstream is 64 hours, where the distance covered by boat in both upstream and downstream is equal.

Which of the following cannot be true?

I: Distance travelled by boat in upstream is 600 km.

II: Speed of boat in still water is 2/55 times the distance covered by boat in upstream.

III: Ratio of upstream and downstream speed of boat is 5:11 respectively.

1. Only I

2. Only III

3. Only II

4. Both II and III

5. All I, II and III

Correct Answer : 1
Solution :

Let speed of stream and the speed of the boat in still water is '3k' km/h and '8k' km/h respectively.

Let the distance covered by boat in both upstream and downstream is 'd' km.

d/(8k - 3k) + d/(8k + 3k) = 64

d/5k + d/11k = 64

d = 220k

I: We cannot find the distance travelled by boat in upstream.

II: Speed of boat in still water = 2/55 * d = 2/55 * 220k = 8k

III: Ratio of upstream and downstream speed of boat = (8 - 3):(8 + 3) = 5:11

Hence, option 'a' is correct.

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