Ram started his journey at 9.00
a.m. at 8 km/hour. hamid started from the same spot in the same direction at 9.30
a.m. at 10 km/hour. hamid overtakes ram at :
Answers
Answered by
6
Hello Dear.
Here is the answer---
Let the time period at which the Hamid overtakes the Ram x hrs.
Now,
For Ram,
Time at which Ram starts the Journey = 9 a.m.
Speed = 8 km/hr.
∵ Speed = Distance/Time
∴ Distance = Speed × Time
∴ Distance = 8x km.
∴ Distance covered by the Ram in x hours is 8x km.
Now,
For Hamid,
Time at which Hamid Starts the Journey = 9 : 30 a.m.
∴ Difference between the Time of Ram and Hamid = 30 minutes.
= 30/60 hrs.
= 0.5 hrs.
∴ Time period at which Hamid overtakes Ram = (x - 0.5) hrs.
∴ Distance Covered by the Hamid in the Time Period = 10( x - 0.5)
= (10x - 5) km.
Now, When Hamid Overtakes Ram, then Both Ram and Hamid will be at the Same Distance,
∴ 8x = 10x - 5
⇒ 10x - 8x = 5
⇒ 2x = 5
⇒ x = 2.5 hrs.
∴ x = 2 hours + 30 minutes.
Now, time at which Hamid Overtakes Ram = 9 a.m. + 2 hrs + 30 min.
= 11 : 30 a.m.
∴ At 11:30 a.m., Hamid Overtakes Ram.
Hope it helps.
Here is the answer---
Let the time period at which the Hamid overtakes the Ram x hrs.
Now,
For Ram,
Time at which Ram starts the Journey = 9 a.m.
Speed = 8 km/hr.
∵ Speed = Distance/Time
∴ Distance = Speed × Time
∴ Distance = 8x km.
∴ Distance covered by the Ram in x hours is 8x km.
Now,
For Hamid,
Time at which Hamid Starts the Journey = 9 : 30 a.m.
∴ Difference between the Time of Ram and Hamid = 30 minutes.
= 30/60 hrs.
= 0.5 hrs.
∴ Time period at which Hamid overtakes Ram = (x - 0.5) hrs.
∴ Distance Covered by the Hamid in the Time Period = 10( x - 0.5)
= (10x - 5) km.
Now, When Hamid Overtakes Ram, then Both Ram and Hamid will be at the Same Distance,
∴ 8x = 10x - 5
⇒ 10x - 8x = 5
⇒ 2x = 5
⇒ x = 2.5 hrs.
∴ x = 2 hours + 30 minutes.
Now, time at which Hamid Overtakes Ram = 9 a.m. + 2 hrs + 30 min.
= 11 : 30 a.m.
∴ At 11:30 a.m., Hamid Overtakes Ram.
Hope it helps.
Similar questions