SSC
Sample Paper
SSC CHSL (10+2) Sample Test Paper-23
question_answer
A man travels from A to B at speed of \[27\text{ }km/hr\] in 37 minute and he travels a distance from B to C with speed of \[37\text{ }km/hr\] in 37 minute. Find the average speed of whole journey.
A) \[28\text{ }km/hr.\]
B) \[30\text{ }km/hr.\]
C) \[32\text{ }km/hr.\]
D) \[36\text{ }km/hr.\]
Correct Answer:
C
Solution :
Total distance between A and B \[=Speed\times Time=27\times \frac{37}{60}=\frac{27\times 37}{60}km\] Distance between B to C \[=\,\,Speed\times Time=37\times \frac{37}{60}\] \[=\frac{37\times 37}{60}km\] \[\therefore \] Total distance travelled by man \[=\frac{27\times 37}{60}+\frac{37\times 37}{60}=\frac{37}{60}\,(27+37)\] \[=\frac{592}{15}\,km\] Total time taken \[=37+37=74\]minute \[\therefore \] Average speed \[=\frac{Total\text{ }Distance}{Total\,\,time}\] \[=\frac{592}{15}\div \frac{74}{60}=\underline{\mathbf{32}\,\mathbf{km/h}}\]