Answer:
Both will leave their homes to meet on time at 9 am
Step-by-step explanation:
Given as, Distance between Jack and Jill = 126 km
Speed of Jack rides = 18 kilometers per hours
Speed of Jill rides = 24 kilometers per hours
Let the distance travel by Jack = x km
And the distance travel by Jill = (126 - x ) km
Time taken by Jack and Jill = T hours
Now , Distance = Speed × Time
So, x = 18 × T
And 126 - x = 24 × T
Or, 126 - x = 24 ×
Or, 126 - x = x ×
Or, 378 - 3x = 4x
Or, 378 = 7x
i.e x = = 54 km
And distance travel by Jill = 126 - 54 = 72 km
So, time taken by Jack = =
Or, Time taken by Jack = 3 hours
Similarly Time take by Jill = = 3 hours
∵ Both Jack and Jill will take 3 hours to meet at 12 : 00 pm
Hence, Both will leave their homes to meet on time at 9 am Answer
