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Q.
The distance of the college and home of Rajeev is 80km. One day he was late by 1 hour than the normal time to leave for the college, so he increased his speed by 4km/h and thus he reached to college at the normal time. What is the changed (or increased) speed of Rajeev?
A.
28 km/h
B.
30 km/h
C.
40 km/h
D.
20 km/h
View Answer
Correct choice: D
Explanation:
Explanation: Let the normal speed be x km/h, then 80/x−80/(x+4)=1 ⇒x2+4x−320=0 ⇒x (x + 20) - 16 (x + 20) = 0 (x + 20 ) (x - 16) =0 x = 16 km/h Therefore (x + 4) = 20 km/h Therefore increased speed = 20 km/h
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