The distance between town X and town Y is 120 km. A scooterist starts from town X towards
town Y at a speed of 20 km/h at 7 o'clock in the morning and another scooterist starts from town
Y towards town X at speed of 30 km/h at 8 o'clock in the morning. At what time will they cross
each other?
Answers
Given data :
- The distance between town X and town Y is 120 km.
- A scooterist starts from town X towards town Y at a speed of 20 km/hr at 7 o'clock in the morning and another scooterist starts from town Y towards town X at speed of 30 km/hr at 8 o'clock in the morning.
To find : The at which time they cross each other ?
Solution : Here, we know from given,
Let, scooterist which starts from town X towards town Y be A and scooterist which starts from town Y towards town X be B.
- speed of scooterist A = 20 km/hr
- speed of scooterist B = 30 km/hr
- Distance between town X and town Y = 120 km
According to given,
{scooterist A starts from town X towards town Y at 7 o'clock and scooterist B starts from town Y towards town X at 8 o'clock and } scooterist A starts 1 hour earlier than scooterist B.
Now, to find distance cover by scooterist A in 1 hour, we use formula of speed.
→ speed = distance/time
→ 20 = distance/1
→ distance = 20 * 1
→ distance = 20 km
After 1 hour distance between scooterist A and scooterist B.
→ distance = 120 - 20
→ distance = 100 km
∴ After 1 hour distance between scooterist A and scooterist B is 100 km
Now, by relative speed of scooterist A and scooterist B to cover 100 km,
→ relative speed = distance/time
→ 20 + 30 = 100/time
→ 50 = 100/time
→ time = 100/50
→ time = 2 hour
Answer : Hence, the scooterist A and the scooterist B cross each other after 2 hour.
{Note : according to question at 10:00 AM or 10 o'clock in the morning }
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