On the river, Q is the mid-point between two points P and R on the same bank of the river. A boat can go from P to Q and back in 12 hours, and from P to R in 16 hours 40 min. How long would it take to go from R to P?
Show answer & explanation
Correct answer: D
Explanation
The correct answer is Option 4 i.e. 22/3 hrs
| Application |
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The time required to travel from P to R = 16 hours and 40 minutes. PQ = QR(Q IS THE MIDPOINT) Required time to travel from P to Q = 1/2(16h 40m) = 8h 20m. Total time required from P to Q + Q to P = 12 hours. So, the time for Q to P = 12 h - 8 h 20 m = 3 h 40m. QP = 1/2RP ( Distance) Required time to travel from R to P = 2 × QP. 2 × 3h 40m = 7h 20 m. = 22/3 hrs |