that's most likely because the Wi-Fi chip in the laptop is cheap or is older tech and doesn't support up to 100mbs over Wi-Fi.
60mbs average is typically what you get for most any 802.11g/n Wi-Fi connection on a 2.4Ghz band.
You want faster Wi-Fi you're going to need to get a USB Wi-Fi adapter with support for wireless AC connectivity (also assuming your router supports AC as well.) The only way to get faster on your laptop is if the Wi-Fi chip inside supports connecting to a 5Ghz network (and assuming your router supports broadcasting in 5Ghz) but at that point, you'll need to be a bit closer to the router since the 5Ghz band gives greater speeds over wireless at the cost of range.
Doing a speedtest with a laptop on Wi-Fi will only...