Final answer:
The information given in the question is not consistent and does not allow us to calculate the distance between Jasmine's house and her grandma's house.
Step-by-step explanation:
To find the distance from Jasmine's house to her grandma's house, we can set up an equation using the formula: Distance = Speed × Time. Let's denote the distance as 'd'. In the morning, Jasmine biked for 45 minutes at a certain speed, so we have the equation: d = Speed × 45. In the evening, she biked for 1 hour and 10 minutes at a speed that was 4 mph slower, so we have the equation: d = (Speed - 4) × 1.167. Setting the two equations equal to each other, we can solve for 'd' using algebra.
Let's solve the equation:
- d = Speed × 45
- d = (Speed - 4) × 1.167
- Speed × 45 = (Speed - 4) × 1.167
- 45Speed = Speed × 1.167 - 4 × 1.167
- 45Speed = 1.167Speed - 4.668
- 45Speed - 1.167Speed = -4.668
- 43.833Speed = -4.668
- Speed = -4.668/43.833
- Speed ≈ -0.106 mph
Since speed cannot be negative, we conclude that there is no real solution for the speed. This means the information given in the question is not consistent and does not allow us to calculate the distance between Jasmine's house and her grandma's house.