Home
Class 14
MATHS
Ram starts from Inderpuri at 8 a.m. at a...

Ram starts from Inderpuri at 8 a.m. at a speed of 6 km/ph. Shyam starts from the same place in the same direction at 9 a.m. with a speed of 9 km/ph. When will Shyam meet Ram?

A

12 noon

B

11 a.m

C

10 a.m

D

1 p.m

Text Solution

AI Generated Solution

The correct Answer is:
To solve the problem of when Shyam will meet Ram, we can follow these steps: ### Step 1: Determine the time difference between Ram and Shyam's departures. - Ram starts his journey at 8 a.m. - Shyam starts his journey at 9 a.m. - The time difference is 1 hour. **Hint:** Always identify the starting times of each person to find the time difference. ### Step 2: Calculate the distance Ram covers in that 1 hour before Shyam starts. - Ram's speed = 6 km/h. - Distance covered by Ram in 1 hour = Speed × Time = 6 km/h × 1 hour = 6 km. **Hint:** Use the formula Distance = Speed × Time to find how far someone has traveled. ### Step 3: Determine the relative speed of Shyam with respect to Ram. - Shyam's speed = 9 km/h. - Ram's speed = 6 km/h. - Since they are moving in the same direction, the relative speed = Shyam's speed - Ram's speed = 9 km/h - 6 km/h = 3 km/h. **Hint:** When two objects move in the same direction, subtract their speeds to find the relative speed. ### Step 4: Calculate the time it takes for Shyam to catch up with Ram. - The distance Ram is ahead = 6 km (from Step 2). - The relative speed = 3 km/h (from Step 3). - Time taken for Shyam to meet Ram = Distance / Relative Speed = 6 km / 3 km/h = 2 hours. **Hint:** To find the time taken to cover a distance at a certain speed, use the formula Time = Distance / Speed. ### Step 5: Determine the time at which Shyam meets Ram. - Shyam starts at 9 a.m. and takes 2 hours to catch up. - Meeting time = 9 a.m. + 2 hours = 11 a.m. **Hint:** Add the time taken to the starting time to find the meeting time. ### Final Answer: Shyam will meet Ram at **11 a.m.**.
Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

Two stations A and. B are 110 km apart on a straight line. One train starts from A at 7 a.m. and travels towards B at 20 kmph. Another train starts from B at 8 a.m. and travels towards A at a speed of 25 kmph. At what time will they meet? 9 adotmdot b. 10 adotmdot c. 10. 30 adotmdot d. 11 adotmdot

Two towns A and B are 160 km apart. A bus starts from A to B at 7 am at a speed of 50 km/h. Another bus starts from B to A at 8 am at a speed of 60 km/h. The time of their meeting is

Ram and Shyam run a race between points A and B, 5 km apart. Ram starts at 9 am from A at a speed of 5 km/hr, reaches B and returns to A at the same speed. Shyam starts at 9:45 am from A at a speed of 10km/hr, reaches B and comes back to A at the same speed. At what time do Ram and Shyam meet each other? 10 adotmdot b. 10 : 10 adotmdot c. 10 : 20 adotmdot d. 10 : 30 adotmdot

Ram and Shyam run a race between points A and B, 5 km apart. Ram starts at 9 am from A at a speed of 5 km/hr, reaches B and returns to A at the same speed. Shyam starts at 9:45 am from A at a speed of 10km/hr, reaches B and comes back to A at the same speed. At what time does Shyam overtake Ram? 10 : 20 adotmdot b. 10 : 30 adotmdot c. 10 : 40 adotmdot d. 10 : 50 adotm

Train A leaves Ludhiana for Delhi at 11 a.m. running at the speed of 60 km/hr. Train B leaves Ludhiana for Delhi by the same route at 2 p.m. on the same day, running at the speed of 72 km/hr. At what time will the two trains meet each other? 2 a.m. on the next day 5 a.m. on the next day 5 p.m. on the next day None of these