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08 Jan 2020, 02:55
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C
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Difficulty:
45%
(medium)
Question Stats:
76% (02:36) correct
24%
(02:42)
wrong
based on 503
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Arun, Barun and Kiranmala start from the same place and travel in the same direction at speeds of 30 km/hr, 40 km/hr and 60 km/hr respectively. Barun starts two hours after Arun. If Barun and Kiranmala overtake Arun at the same instant, how many hours after Arun did Kiranmala start?
(A) 3
(B) 3.5
(C) 4
(D) 4.5
(E) 5
Are You Up For the Challenge: 700 Level Questions
(A) 3
(B) 3.5
(C) 4
(D) 4.5
(E) 5
Are You Up For the Challenge: 700 Level Questions
Updated on: 09 Jan 2020, 00:46
Originally posted by abhishekdadarwal2009 on 08 Jan 2020, 04:40.
Last edited by abhishekdadarwal2009 on 09 Jan 2020, 00:46, edited 1 time in total.
Last edited by abhishekdadarwal2009 on 09 Jan 2020, 00:46, edited 1 time in total.
Kudos
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Arun, Barun and Kiranmala start from the same place and travel in the same direction at speeds of 30 km/hr, 40 km/hr and 60 km/hr respectively. Barun starts two hours after Arun. If Barun and Kiranmala overtake Arun at the same instant, how many hours after Arun did Kiranmala start?
(A) 3
(B) 3.5
(C) 4
(D) 4.5
(E) 5
Sol speed
A 30
B 40
K 60
Inorder for all of them reach at the same time at the same point. we have to take the LCM
which is 120.
for this distance the time taken by A ,B and K will be 4,3,2 but this does not fit in the questions.
so we take the next point where they may meet which is 240.
the time taken by A,B and K is 8,6 and 4 respectivly.
from this we get hat ther is a difference of 4 hours. Sol C.
(A) 3
(B) 3.5
(C) 4
(D) 4.5
(E) 5
Sol speed
A 30
B 40
K 60
Inorder for all of them reach at the same time at the same point. we have to take the LCM
which is 120.
for this distance the time taken by A ,B and K will be 4,3,2 but this does not fit in the questions.
so we take the next point where they may meet which is 240.
the time taken by A,B and K is 8,6 and 4 respectivly.
from this we get hat ther is a difference of 4 hours. Sol C.
BhishmaNaidu99
09 Jan 2020, 04:59
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given speeds as follows , A = 30kmph B = 40 kmph K = 60 kmph
As they meet Arun at same point the distance travelled is same.
for A, D = 30 * t
for B, D = 40* (t-2) as B takes 2hrs less to reach the same point,
For K D = 60 * (t-2-x) let x be the hrs when k starts after B, and he reaches the same point.
solving the 1 and 2 equation we t = 8 hrs and then we get x = 2hrs
so in total k starts after 2+2 = 4hrs
As they meet Arun at same point the distance travelled is same.
for A, D = 30 * t
for B, D = 40* (t-2) as B takes 2hrs less to reach the same point,
For K D = 60 * (t-2-x) let x be the hrs when k starts after B, and he reaches the same point.
solving the 1 and 2 equation we t = 8 hrs and then we get x = 2hrs
so in total k starts after 2+2 = 4hrs
