Which of the following statement is correct? I. A starts from point P at 8:00…
2021
Which of the following statement is correct? I. A starts from point P at 8:00 am with speed of 45 km/hr. B starts from point P at 10:00 am at 60 km/hr towards A. B will catch A at 4:00 pm. II. If A increases his speed by 25 percent, then he covers the same distance in 20 percent less time.
- A.
Only I
- B.
Only II
- C.
Both I and II
- D.
Neither I nor II
Attempted by 5 students.
Show answer & explanation
Correct answer: C
Statement I Verification:
A travels from 8:00 am to 10:00 am (2 hours) at 45 km/hr. Head start distance = 45 * 2 = 90 km.
Relative speed of B with respect to A = 60 - 45 = 15 km/hr.
Time taken by B to catch A = Head start distance / Relative speed = 90 / 15 = 6 hours.
B starts at 10:00 am, so B catches A at 10:00 am + 6 hours = 4:00 pm. (Statement I is True).
Statement II Verification:
Speed and time are inversely proportional for a constant distance.
New speed = 1.25 * Original speed.
New time = Original time / 1.25 = 0.8 * Original time = 80% of original time.
Reduction in time = 100% - 80% = 20%. (Statement II is True).
Final Answer: Option 3 (Both I and II)