Find the distance if a journey of 10 hrs is covered at 21 kmph for the first half and 24 kmph in the second half.
Solution:
Let the distance be p km.
First half of distance is covered in p / (2 x 21) hrs.
Second half of distance is covered in p / (2 x 24) hrs.
therefore, p / (2 x 21) + p / (2 x 24) = 10 hrs.
Solving we ger p = 224 km.
Shortcut Method:
It is similar to the problem in Distance Formula 3.
But in the above sum we cannot use the Distance Formula 3 since it calculates half the distance as the speeds cover up only half of the journey.
So we use the modified formula:
Distance = (2 x product of speeds x Total time to cover distance) / (Addition of two
speeds).
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Solution:
Let the distance be p km.
First half of distance is covered in p / (2 x 21) hrs.
Second half of distance is covered in p / (2 x 24) hrs.
therefore, p / (2 x 21) + p / (2 x 24) = 10 hrs.
Solving we ger p = 224 km.
Shortcut Method:
It is similar to the problem in Distance Formula 3.
But in the above sum we cannot use the Distance Formula 3 since it calculates half the distance as the speeds cover up only half of the journey.
So we use the modified formula:
Distance = (2 x product of speeds x Total time to cover distance) / (Addition of two
speeds).
Get Updates on Facebook and Twitter also.
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