Math  /  Algebra

QuestionSolve this pair of linear equation. Anisha lives 15 km away from her school. She walks to the bus stop and takes a bus to school everyday. If she goes to the nearest bus stop, she needs to walk for 3 km and cover the rest by bus. This takes her 1.5 hours. If she walks to a bus stop further away, she needs to walk for 5 km and cover the rest by bus. This takes her 2 hours.
Frame equations and solve them to find the average speed Anisha walks at, as well as the average speed of the bus. Show your steps.

Studdy Solution
Now, substitute b=20 b = 20 back into the equation 1w=11420 \frac{1}{w} = 1 - \frac{14}{20} to find w w :
1w=11420 \frac{1}{w} = 1 - \frac{14}{20} 1w=10.7 \frac{1}{w} = 1 - 0.7 1w=0.3 \frac{1}{w} = 0.3 w=10.3 w = \frac{1}{0.3} w=103 w = \frac{10}{3} w3.33 w \approx 3.33
So, the average speed at which Anisha walks is 103 \frac{10}{3} km/h, or approximately 3.33 3.33 km/h.
Solution: The average speed at which Anisha walks is 103 \frac{10}{3} km/h, and the average speed of the bus is 20 20 km/h.

View Full Solution - Free
Was this helpful?

Studdy solves anything!

banner

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

ParentsInfluencer programContactPolicyTerms
TwitterInstagramFacebookTikTokDiscord