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 1 of 2.
Tarun gupta said:
1 decade ago
I am getting 5.4 as answer. Please help.
if A runs 180 then b runs 162 (90*180/100)
if A runs 180 then C runs 156.6(87*180/100)
Difference=5.4
What is wrong in my approach. Help ?
if A runs 180 then b runs 162 (90*180/100)
if A runs 180 then C runs 156.6(87*180/100)
Difference=5.4
What is wrong in my approach. Help ?
Rohit said:
1 decade ago
Hi friends i got the simple method
when A complete 100 m then
B (100-10)=90
and c (100-13)=87
they ask in 180m race B beat c means
if B covers 180 which is twice of 90
then C will reach 87*2 = 174
180-174=6
when A complete 100 m then
B (100-10)=90
and c (100-13)=87
they ask in 180m race B beat c means
if B covers 180 which is twice of 90
then C will reach 87*2 = 174
180-174=6
(3)
Pintu kashyap said:
1 decade ago
If say answer is 5.4 means we are including A also in the race but qtn asking about B & C.
In 100m race B cover 90m and c cover 87m. In another 90m B also cover 90m and c cover 87.
Total a cover 180m and c cover 174. So 180-172 = 6 m.
In 100m race B cover 90m and c cover 87m. In another 90m B also cover 90m and c cover 87.
Total a cover 180m and c cover 174. So 180-172 = 6 m.
Manmohan Pal said:
1 decade ago
It is given that.
B runs 90 m, C runs 87 m.
If B runs 180 m, C runs (87*180) /90.
C runs = 174 m.
So,
B will beat C by 180-174 = 6 m.
B runs 90 m, C runs 87 m.
If B runs 180 m, C runs (87*180) /90.
C runs = 174 m.
So,
B will beat C by 180-174 = 6 m.
R.SUBASH said:
1 decade ago
Rohit your method is too great.
And Pintu kashyap in the last line you have one simple mistake, that's not 172 it is 174.
And Pintu kashyap in the last line you have one simple mistake, that's not 172 it is 174.
Akhil said:
9 years ago
@Rohit.
That was an awesome trick thanks!
That was an awesome trick thanks!
Pranay said:
9 years ago
Simple & of easy to understand @Rohit.
Ramm said:
8 years ago
Good explanation, Thanks @Rohit.
Sana said:
8 years ago
Another simple method.
Total---100m.
-------------.(87m)C-----------.(90m)B----------A
A=100.
B=behind A by 10m or travel-90m,
C= behind A by 13m or travel-87m,
Common difference B and C(90-87)=3m,
Now Follow the question its asked 180m.
B=90m*2=180m so, common difference=3*2=6m.
So, This 6m is the actual beating distance of C by B.
Ans-6m.
Total---100m.
-------------.(87m)C-----------.(90m)B----------A
A=100.
B=behind A by 10m or travel-90m,
C= behind A by 13m or travel-87m,
Common difference B and C(90-87)=3m,
Now Follow the question its asked 180m.
B=90m*2=180m so, common difference=3*2=6m.
So, This 6m is the actual beating distance of C by B.
Ans-6m.
(5)
Priyaa said:
6 years ago
Thanks @Rohit.
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