Som is slower than Ram, and each travels 150 km. The sum of their speeds is 25 km/h and the sum of the time taken by them is 25 hours. Then, Som's speed is:
- A10 km/h
- B12 km/h
- C13 km/h
- D15 km/h
Solution & Step-by-step Explanation
Let Ram's speed be r km/h and Som's speed be s km/h.
Given:
r+s=25⟹r=25−s
Since Som is slower than Ram, s
The total distance travelled by each is 150 km, and the total time taken is 25 hours:
s
150
+
r
150
=25
Divide the entire equation by 25:
s
6
+
r
6
=1
6(
sr
r+s
)=1
Substitute r+s=25:
6(
sr
25
)=1⟹sr=150
We need two numbers whose sum is 25 and product is 150. These numbers are 10 and 15.
Since Som is slower (s
Given:
r+s=25⟹r=25−s
Since Som is slower than Ram, s
The total distance travelled by each is 150 km, and the total time taken is 25 hours:
s
150
+
r
150
=25
Divide the entire equation by 25:
s
6
+
r
6
=1
6(
sr
r+s
)=1
Substitute r+s=25:
6(
sr
25
)=1⟹sr=150
We need two numbers whose sum is 25 and product is 150. These numbers are 10 and 15.
Since Som is slower (s
Practice this question
Try it yourself before checking the explanation above.
Som is slower than Ram, and each travels 150 km. The sum of their speeds is 25 km/h and the sum of the time taken by them is 25 hours. Then, Som's speed is:
A
10 km/h
B
12 km/h
C
13 km/h
D
15 km/h
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