Directions Answer the question based on the information given below Three persons P Q and R started ...........

Data Interpretation ( IBPS PO) Case Studies

Directions: Answer the question based on the information given below:

Three persons P, Q, and R started their journey at 9: 30 a.m, 11: 00 a.m., and 2:00 p.m. respectively. The speed of Q is 5² m/sec. Q reached the destination on the same day at 7: 30 p.m. Q is the fastest person and R is not the slowest person.

The speed of P is 15% less than the speed of Q, then at what, time P will reach his destination?

I. After 6 hours with respect to Q

II. At 7: 30 p.m.

III. After 7 hours with respect to R

This questions was previously asked in

IBPS PO Mains (26th November 2022)

View All IBPSPO Previous Year Papers

Only I

Only II

Only III

Only I and II

None of these

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Explanation:

- Speed of Q: \(5^2 = 25\) m/sec.

- Arrival time of Q: 7:30 p.m. So, journey duration for Q = 8.5 hours.

- Speed of P: 15% less than Q's speed = 25 - 3.75 = 21.25 m/sec.

- Person R: Is not the slowest, meaning P is the slowest.

- Time taken by P: Since P is slower and started earlier at 9:30 a.m., we know P will take longer than Q's 8.5 hours to cover the same distance.

Evaluating the statements:

- I. After 6 hours with respect to Q: P cannot reach in 6 hours after Q because P is slower.

- II. At 7:30 p.m.: Matches the time calculations as P would take longer but started earlier, allowing to reach at 7:30 p.m. if Q also reaches in 8.5 hours.

- III. After 7 hours with respect to R: P cannot reach 7 hours after R since R is faster.

The correct option is:

- Option 2: Only II