We use cookies to personalise content and ads, to provide social media features and to analyse our traffic. We also share information about your use of our site with our social media, advertising and analytics partners.More informationAgree
ad
profilesaranya
asked 2016-08-20 23:17:18 
Pathik and Rahi started from two places Andheri and Bhavnagar towards Bhavnagar and Andheri respectively at $8:20$ am. The speeds of Pathik and Rahi are in the ratio $4:5.$ They meet at Chandni Chowk, somewhere between Andheri and Bhavnagar, spent some time together for coffee and burger and then both started towards their destination at $9:27$ am. If Pathik reaches Bhavnagar at $10:32$ am, how much time did they spend together?
like 1 dislike 0 comment
profilejiju
answered 2016-08-21 09:14:22 
Ans: $15$ minutes

Time taken by Pathik to travel from the meeting point to Bhavnagar,
$=10:32\text{ am}-9:27\text{ am}=1\text{ hr }5 \text{ min}$

Speed of Pathik and Rahi $=4:5$

Since time is inversely proportional to speed, time taken by Rahi to travel from Bhavnagar to the meeting point
$=(1\text{ hr }5 \text{ min})×\dfrac{4}{5}=48+4=52\text{ min}$

therefore, time at which they both reached the meeting point
$=8:20\text{ am}+52\text{ min}=9:12\text{ am}$

Time that they spent together for coffee and burger
$=9:27\text{ am}-9:12\text{ am}=15\text{ minutes}$
like 0 dislike 0 comment

Answer This Question

?
Name
    cancel
    preview