Let the total distance travelled be x kms.
Case I :
Speed for the first one-third distance
Similarly, time taken for the next one-third distance
and time taken for the last onethird distance
∴ Total time taken to cover x kms.
Case II :
| = ||x|| + ||x|| + ||x|| hours.|
Time taken for one-half distance at the speed of 10 km per hr.
and time taken for remaining 1/2 of distance
| = ||x||hrs. at 8 km per hr.|
|Total time taken = ||x|| + ||x|| hrs.|
Time taken in (Case II – Case I)
∴ According to the question
|x|| + ||x|| − ||x|| + ||x|| + ||x|
|⇒ ||108x + 135x − 72x − 80x − 90x |
Hence the required distance
= 36 km.