Aptitude - Races and Games - Discussion
Discussion Forum : Races and Games - General Questions (Q.No. 4)
4.
In a 100 m race, A beats B by 10 m and C by 13 m. In a race of 180 m, B will beat C by:
Answer: Option
Explanation:
A : B = 100 : 90.
A : C = 100 : 87.
| B | = | B | x | A | = | 90 | x | 100 | = | 30 | . |
| C | A | C | 100 | 87 | 29 |
When B runs 30 m, C runs 29 m.
| When B runs 180 m, C runs |  |
29 | x 180 |  m |
= 174 m. |
| 30 |
B beats C by (180 - 174) m = 6 m.
Discussion:
13 comments Page 2 of 2.
Subhajit said:
6 years ago
In 100 m race, a beats b by 10m
a beats c by 13m
So b beats c by (13-10)=3m
Same configuration carry forward to 180m.
So if in. 100m race b beats c by 3m.
180m race b beats c by (3*180)/100.
=5.4m(probable ans).
Another method:
In 100m race a finish 100m at the same instant b finish 90m at the same time c finish 87m
The same configuration carry forwarded
180m race a finish 180m at the same time b finish at 162m at the same time c finish at 156.6m then difference between them is (162-156.6)=5.4m (corrected).
a beats c by 13m
So b beats c by (13-10)=3m
Same configuration carry forward to 180m.
So if in. 100m race b beats c by 3m.
180m race b beats c by (3*180)/100.
=5.4m(probable ans).
Another method:
In 100m race a finish 100m at the same instant b finish 90m at the same time c finish 87m
The same configuration carry forwarded
180m race a finish 180m at the same time b finish at 162m at the same time c finish at 156.6m then difference between them is (162-156.6)=5.4m (corrected).
Vinay said:
4 years ago
@All.
Definition of defeating C for B is a time when B reachs 180m how far behind c is.
If you are getting 5.4 as an answer that means only "A" has reached the finish point of 180m, "B" is still at 162 meters, that is "B" has not completed the race.
Definition of defeating C for B is a time when B reachs 180m how far behind c is.
If you are getting 5.4 as an answer that means only "A" has reached the finish point of 180m, "B" is still at 162 meters, that is "B" has not completed the race.
(2)
Manish said:
3 years ago
Thanks for explaining it @Vinay.
(1)
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