Caselets

Q: What is the speed of Boat B in still water?

Correct Answer: Option C (15 km/hr). Speed of stream (y) = 4 km/hr. Speed of Boat A in still water (x_a) = 3 * 4 = 12 km/hr. Speed of Boat B in still water (x_b) = 1.25 * 12 = 15 km/hr.

Q: How much time will Boat A take to travel from Point P to Point Q and back to Point P?

Correct Answer: Option C (22.5 hours). Downstream speed of A = x_a + y = 12 + 4 = 16 km/hr. Upstream speed of A = x_a - y = 12 - 4 = 8 km/hr. Distance = 120 km. Time downstream = 120 / 16 = 7.5 hours. Time upstream = 120 / 8 = 15 hours. Total time = 7.5 + 15 = 22.5 hours.

Q: When Boat B reaches Point Q, what is the distance remaining for Boat A to reach Point Q?

Correct Answer: Option B (18.9 km). Downstream speed of B = 15 + 4 = 19 km/hr. Time taken by B to reach Q = 120 / 19 hours ≈ 6.315 hours. In this time, distance covered by A = Downstream speed of A * Time = 16 * (120 / 19) = 1920 / 19 km ≈ 101.05 km. Remaining distance for A = 120 - (1920/19) = (2280 - 1920)/19 = 360 / 19 = 18.94 km.

Q: What is the ratio of the time taken by Boat A to travel upstream to the time taken by Boat B to travel upstream for the same distance?

Correct Answer: Option A (11:8). Upstream speed A = 8 km/hr. Upstream speed B = 15 - 4 = 11 km/hr. Since distance is constant, time ratio is inversely proportional to speed ratio. Speed ratio = 8 : 11. Time ratio = 11 : 8.

Q: If the speed of the stream increases by 2 km/hr, how much time will Boat B save when travelling downstream from P to Q compared to its original downstream time?

Correct Answer: Option B (36 minutes). Original downstream speed of B = 19 km/hr. Original time = 120 / 19 hours ≈ 6.315 hours. New stream speed = 4 + 2 = 6 km/hr. New downstream speed of B = 15 + 6 = 21 km/hr. New time = 120 / 21 = 40 / 7 hours ≈ 5.714 hours. Difference = (120/19) - (40/7) = (840 - 760) / (133) = 80 / 133 hours. In minutes = (80 / 133) * 60 = 4800 / 133 ≈ 36.09 minutes.

80 Questions

Practice Caselets questions with answers and step-by-step solutions. These problems are curated from recent campus placement test papers (TCS, Infosys, Wipro, Cognizant, Accenture) and competitive government exams (SSC CGL, Bank PO, RRB NTPC, UPSC).

Quick Mode: Practice Questions Timed Mock Test

Caselets: Reference Passage & Data Shared for questions below

Caselet Context & PassageSet 4: Boats & Streams

Boat A and Boat B are operating in a river where the speed of the stream is 4 km/hr. The speed of Boat A in still water is exactly 3 times the speed of the stream. The speed of Boat B in still water is 25% more than the speed of Boat A in still water. Both boats start simultaneously from Point P to Point Q, travelling downstream. The distance between Point P and Point Q is 120 km.

Q31

What is the speed of Boat B in still water?

medium

Q32

How much time will Boat A take to travel from Point P to Point Q and back to Point P?

medium

Q33

When Boat B reaches Point Q, what is the distance remaining for Boat A to reach Point Q?

medium

Q34

What is the ratio of the time taken by Boat A to travel upstream to the time taken by Boat B to travel upstream for the same distance?

medium

Q35

If the speed of the stream increases by 2 km/hr, how much time will Boat B save when travelling downstream from P to Q compared to its original downstream time?

medium

Previous 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 Next

Caselets

What is the speed of Boat B in still water?

Community Discussion & Shortcut Formulas

How much time will Boat A take to travel from Point P to Point Q and back to Point P?

Community Discussion & Shortcut Formulas

When Boat B reaches Point Q, what is the distance remaining for Boat A to reach Point Q?

Community Discussion & Shortcut Formulas

What is the ratio of the time taken by Boat A to travel upstream to the time taken by Boat B to travel upstream for the same distance?

Community Discussion & Shortcut Formulas

If the speed of the stream increases by 2 km/hr, how much time will Boat B save when travelling downstream from P to Q compared to its original downstream time?

Community Discussion & Shortcut Formulas