Question

A train takes 3 hours to reach Agra from Delhi. If it reduces it's speed by 12 km/hr. it takes 45 minutes more for the journey. Find the distance between Delhi and Agra.

विकल्प

• 200 km

• 185 km

• 180 km

• 160 km

Answer 1

180 km

Explanation:

Let speed of train = s km/hr

Distance between Agra and Delhi = 3s

(s – 12) (3 hours 45 minutes) = 3s

`(s + 2)(3 3/4)` = 3s

⇒ `(s - 12) 15/4` = 3s

⇒ `15/4 s - 45` = 3s

⇒ 45 = `((15 - 12)/4)s`

s = `45 xx 4/3` = 60 kmph

Distance = 3 × 60 = 180 km