Subject: General Aptitude · Chapter: Time and Distance · Exam: 2007 · Marks: · Difficulty:
A person travels 285 km in 6 hours in two stages. In the first part of the journey, he travels by bus at the speed of 40 km/hr. In the second part of the journey, he travels by train at the speed of 55 km/ hr. How much distance does he travel b y train?
(a)145 km
(b)165 km
(c)185 km
(d)205 km
Answer
Answer (as printed): B
Explanation
Let the distance travelled by bus be x km. Then, distance travelled by train = (285 – x) km. x (285 – x ) 11x + 8 (285 – x ) \ + =6⇒ =6 40 55 440 ⇒ 11x – 8x + 2280 = 2640 ⇒ 3x = 360 ⇒ x = 120. Hence, distance travelled by train = (285 – 120) km = 165 km.
Explanation as extracted from the printed page; notation may be imperfect.