The problem requires calculating the time taken by Meghna to travel from Delhi to Kanpur, given her speed and Ishaan's speed and travel time over the same distance.
Distance Calculation Using Ishaan's Data
First, we find the total distance between Delhi and Kanpur using Ishaan's speed and time.
- Ishaan's Speed ($v_I$): 90 km/hr
- Ishaan's Time ($t_I$): 13 hours
The formula relating distance, speed, and time is: $ \text{Distance} = \text{Speed} \times \text{Time} $ Applying this to Ishaan's journey: $ d = v_I \times t_I $ $ d = 90 \text{ km/hr} \times 13 \text{ hours} $ $ d = 1170 \text{ km} $ The distance from Delhi to Kanpur is 1170 km.
Meghna's Travel Time Calculation
Now, we use the calculated distance and Meghna's speed to find her travel time.
- Distance ($d$): 1170 km
- Meghna's Speed ($v_M$): 65 km/hr
The formula to find time is: $ \text{Time} = \frac{\text{Distance}}{\text{Speed}} $ Applying this to Meghna's journey: $ t_M = \frac{d}{v_M} $ $ t_M = \frac{1170 \text{ km}}{65 \text{ km/hr}} $ $ t_M = 18 \text{ hours} $ Therefore, Meghna takes 18 hours to reach Kanpur.
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Important Questions from Speed Time and Distance
A journey of 900 km is completed in 11 h. If two-fifth of the journey is completed at the speed of 60 km/h, at what speed (in km/h) is the remaining journey completed?
A car starts from point A towards point B, travelling at the speed of 20 km/h. 1 \(\frac{1}{2}\) hours later, another car starts from point A and travelling at the speed of 30 km/h and reaches 2 \(\frac{1}{2}\) hours before the first car. Find the distance between A and B.
A bus covered a distance of 162 km. If speed of this bus is 15 m/s, then what will be the time taken ?
An athlete runs an 800 m race in 96 seconds. His speed (in km / h) is:
A person has to cover a distance of 150 km in 15 hours. If he traveled with the speed of 11.8 km/hr for 10 hours. At what speed he has to travel to cover the remaining distance in the remaining time?
