Question

In covering a distance of 56 km, Anirudh takes 5 hours more than Burhan. If Anirudh doubles his speed, then he would take 2 hour less than Burhan. Anirudh's speed is:

• A. 4 km/h
• B. 14 km/h
• C. 3 km/h
• D. 8 km/h

Answer 1

Answer:

A. 4 km/h

Anirudh's speed is 4 km/h.

Step-by-Step Solution

• Initial variables: Let Anirudh's speed be $x$ km/h.

• Initial time: Anirudh takes $\frac{56}{x}$ hours.

• New speed: Doubling speed gives $2x$ km/h.

• New time: Anirudh takes $\frac{56}{2x} = \frac{28}{x}$ hours.

• Time difference: The total time difference is 7 hours.

• Form equation: $\frac{56}{x} - \frac{28}{x} = 5 + 2$.

• Simplify equation: $\frac{28}{x} = 7$.

• Final calculation: $x = \frac{28}{7} = 4$.