A person travels 5x distance at a speed of 5 km/h, x distance at a speed of 5 km/h, and 4x distance at a speed of 6 km/h, and takes a total of 112 minutes. What is the total distance (in km) travelled by the person?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. 10
Concept Used:
Distance = Speed × time ⇒ Distance/Speed = time ...(i)
Solution :
According to the given question, using eqution (i), we get
5x/5 + x/5 + 4x/6 = 112/60
⇒ x + x/5 + 2x/3 = 28/15
⇒ 28x/15 = 28/15
⇒ x = 1
Hence, The require total distance (5x + x + 4x) = 10x = 10 × 1 = 10 Km.