97.
Ram and Bharat travel the same
distance at the speed of 6 Kms per hour
and 10 Kms per hour respectively. If
Ram takes 30 minutes longer than
Bharat, the distance travelled by each is
(a) 6 Km.
(b) 10 Km.
tef 7.5 Km
(d) 20 Km.
Answers
Speed of Ram= 6 km/h
Speed of Bharat= 10 km/h
time taken by Bharat= t
so time taken by Ram=t+30minutes
we can write 30 minutes as 30/60h i.e. 1/2 h
so time taken by Ram=t+1/2h
Distance travelled by Bharat= speed*time
=10*t
=10t km
Distance travelled by Ram=speed*time
=6(t+1/2)
=3(2t+1) km
since the distance travelled by both are equal, so we can write:-
10t=3(2t+1)
4t=3
t=3/4
so now putting the value of t in the distance travelled by Ram or Bharat
so distance travelled is 10t=10*3/4
=7.5 km Answer
or
3(2t+1)=3(2*3/4 +1)
=7.5 km ANSWER