Determine the 5th term in geometric sequence whose first term is 4 and whose common ratio is 3
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Answer:
Speed of first skier = 5 km/h
Speed of second skier = 10 km/h
Step-by-step explanation:
Given:
Distance between skiers = 30 km
Time after which they meet = 2 hours
Second skier is 5 km/h faster than the first skier.
To find speed of each skier.
Solution:
Let the speed of first skier be in km/h =
<em>Distance covered in km 2 hours will be = </em>
Speed of second skier in km/h can be given as =
<em>Distance traveled by second skier after 2 hours will be = [Using distribution]</em>
Since, the skiers were 30 km apart initially, so the total distance covered by both of them when they meet after 2 hours will be = 30 km
Thus, we have:
Solving for
Subtracting both sides by 10.
Dividing both sides by 4.
Speed of first skier = 5 km/h
Speed of second skier = = 10 km/h