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.
Pranay said:
9 years ago
Simple & of easy to understand @Rohit.
Ramm said:
8 years ago
Good explanation, Thanks @Rohit.
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).
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