A Zomato boy started from his office at 9 am to deliver food. He rode his scooter at a speed of 40 km/h. He delivered the food and waited for 12 minutes to get the payment. After the payment was made, he reached his office at 10:50 am traveling at a speed of 30 km/h. Find the total distance traveled (in km) by the boy?
Answer & explanation
Correct answer: option 4
Let, the distance between two points is x km
Start time 09 : 00 am
Finish time 10 : 50 am
Total time = 1 + \(\frac{50}{60}\) = 1 + \(\frac{5}{6}\) = \(\frac{11}{6}\) h
ATQ,
\(\frac{x}{40}\)hrs + 12 min + \(\frac{x}{30}\)hrs = \(\frac{11}{6}\)hrs
\(\frac{x}{40}\) + \(\frac{12}{60}\) + \(\frac{x}{30}\) = \(\frac{11}{6}\)
\(\frac{3x + 24 + 4x}{120}\) = \(\frac{11}{6}\)
⇒ 7x + 24 = 220
⇒ 7x = 196
⇒ x = 28
Distance traveled by boy = 2x = 2 × 28 = 56 km