To cover a distance of 30 km, Rima takes 2 hours more than Sanjay. If Rima just doubles her speed, then she would take 1 hour less than Sanjay. What is Rima’s speed?
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Given:
Total distance to be covered = 30 km
Time taken by Rima that is more than time taken by Sanjay = 2 hours
To find:
If Rima doubles her speed, then she would take 1 hour less. Find Rima's speed.
Solution:
Let Rima's speed be x km/hr and Sanjay's speed be y km/hr.
Then if she takes 2 hours more than Sanjay, the equation would be:
30/x - 30/y = 2 - equation 1
If Rima doubles her speed, the equation would be:
30/y - 30/2x = 1 - equation 2
On solving equation 1 and 2, we get:
x = 5 km/hr
y = 7.5 km/hr
Rima's speed is 5 km/hr.
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