Sari and Ken climb up a mountain. At night, they camp together. On the day they are supposed to reach the summit, Sari wakes up at 08:00 and starts climbing at a constant pace. Ken starts climbing only at 10:00, when Sari is already 700 meters ahead of him. Nevertheless, Ken climbs at a constant pace of 500 meters per hour, and reaches the summit before Sari. If Sari is 50 meters behind Ken when he reaches the summit, at what time did Ken reach the summit?  Select the correct option
A) 13:00 B) 13:30 C) 14:00 D) 15:00 E) 15:30
Both Sari and Ken climb in the same direction.   Speed of Sari = 700/2= 
<gadget id="calculator">700/2</gadget>
<output>350</output>
350 meters/hr (since she covers 700 meters in 2 hrs)   Speed of Ken= 500 meters/hr   At 8:00, distance between Ken and Sari is 700 meters. Ken needs to cover this and another 50 meters.   Time he will take = Total distance to be covered/Relative Speed = (700 + 50)/(500 - 350)= 
<gadget id="calculator">(700 + 50)/(500 - 350)</gadget>
<output>5</output>
5 hrs   Starting from 10:00, in 5 hrs, the time will be 15:00   Answer (15:00)
<result>D</result>
Sari and Ken climb up a mountain. At night, they camp together. On the day they are supposed to reach the summit, Sari wakes up at 08:00 and starts climbing at a constant pace. Ken starts climbing only at 10:00, when Sari is already 700 meters ahead of him. Nevertheless, Ken climbs at a constant pace of 500 meters per hour, and reaches the summit before Sari. If Sari is 50 meters behind Ken when he reaches the summit, at what time did Ken reach the summit?