Direction: Answer the questions on the basis of the information given ...
Let Hitesh's initial speeds in cycling, running and swimming be 6x, 2x and x respectively.
Also after changing his strategy let Hitesh's speeds in cycling, running and swimming be 8y, 3y and y respectively.
From (ii),
Solving the equations we get, x = 9, y = 6 and t = 100
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Direction: Answer the questions on the basis of the information given ...
Calculation:
Given Information:
- Hitesh's speeds in each phase of the triathlon are in the ratio 6 : 2 : 1 initially and 8 : 3 : 1 after changing his strategy.
- Hitesh completes the race in t minutes originally and t+20 minutes after changing his strategy.
- The distances covered in each phase remain the same in both strategies.
Calculating Time to Cover 10.4 km:
- Since Hitesh cycles 24 km, runs 12 km, and swims 5 km in his triathlon, the total distance covered is 24 + 12 + 5 = 41 km.
- In the second strategy, his speeds in cycling, running, and swimming are in the ratio 8 : 3 : 1. Since the running speed remains the same, the cycling speed is 8x, running speed is 3x, and swimming speed is x.
- To calculate the time taken to cover 10.4 km while cycling at 8x speed:
- Speed = Distance / Time
- 8x = 24 / Time (since the distance to be covered is 24 km)
- Time = 24 / 8x = 3 / x
- Since the swimming speed is x, the time taken to cover 10.4 km while swimming would be 10.4 / x.
- Total time to cover 10.4 km = Time taken for cycling (3 / x) + Time taken for running (0, as the running speed remains the same) + Time taken for swimming (10.4 / x)
Substitute the values:
- Total time to cover 10.4 km = 3 / x + 10.4 / x
- Total time = 13.4 / x
Final Calculation:
- To find the time taken to cover 10.4 km, we need to calculate 13.4 / x, where x is the swimming speed in the second strategy.
- Since the total time taken in the second strategy is t+20, we can equate it to 13.4 / x
- t + 20 = 13.4 / x
- Now, substitute the values of x and t from the given information to find the time taken to cover 10.4 km.
Therefore, Hitesh will cover 10.4 km in 13 minutes if he cycles with the speed in his second strategy.
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