Question : Ram covers a distance in 8 hours and Mohan covers the same distance in 4 hours. If the speed of Mohan is 10 km/hr more than Ram, then which of the following statements is/are correct?
I. The speed of Mohan is 20 km/hr.
II. Sum of their speed is 30 km/hr.
Option 1: Neither I nor II
Option 2: Both I and II
Option 3: Only II
Option 4: Only I
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Correct Answer: Both I and II
Solution :
Let the speed of Ram be $x$ km/hr
⇒ Speed of Mohan = $(x+10)$ km/hr
Distance covered by Ram in 8 hours $= x × 8 = 8x$ km
Distance covered by Mohan in 4 hours $= (x + 10) × 4 = 4x + 40$ km
According to the question,
$8x = 4x + 40$
⇒ $4x = 40$
⇒ $x = 10$
⇒ Speed of Mohan = 20 km/hr and Speed of Ram = 10 km/hr
The sum of their speeds = 20 + 10 = 30 km/hr
Hence, the correct answer is Both I and II.
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